Modern South Arabian ‘nine’

1998 ◽  
Vol 61 (2) ◽  
pp. 314-317
Author(s):  
David Testen
Keyword(s):  
Semitic Languages ◽  
The Common ◽  
Image Position

There can be little doubt that the stem of the Common Semitic cardinal numeral ‘nine’ is to be reconstructed as *tiš'-.Among the Modern South Arabian languages, however, we find a set of forms for this numeral which, while clearly reminiscent of those of the remaining Semitic languages, are remarkable for (a) the absence of the initial *ti- and (b) the presence of the sibilant s rather than the expected *š (Johnstone, 1975:23).

Optimal selection of stochastic intervals under a sum constraint

1987 ◽  
Vol 19 (2) ◽  
pp. 454-473 ◽  
Author(s):  
E. G. Coffman ◽  
L. Flatto ◽  
R. R. Weber
Keyword(s):  
Decision Rule ◽  
Selection Process ◽  
Random Variables ◽  
Optimal Threshold ◽  
Optimal Selection ◽  
Expected Number ◽  
Common Distribution ◽  
The Common ◽  
Image Position ◽  
Selection Of

We model a selection process arising in certain storage problems. A sequence (X1, · ··, Xn) of non-negative, independent and identically distributed random variables is given. F(x) denotes the common distribution of the Xi′s. With F(x) given we seek a decision rule for selecting a maximum number of the Xi′s subject to the following constraints: (1) the sum of the elements selected must not exceed a given constant c > 0, and (2) the Xi′s must be inspected in strict sequence with the decision to accept or reject an element being final at the time it is inspected.We prove first that there exists such a rule of threshold type, i.e. the ith element inspected is accepted if and only if it is no larger than a threshold which depends only on i and the sum of the elements already accepted. Next, we prove that if F(x) ~ Axα as x → 0 for some A, α> 0, then for fixed c the expected number, En(c), selected by an optimal threshold is characterized by Asymptotics as c → ∞and n → ∞with c/n held fixed are derived, and connections with several closely related, well-known problems are brought out and discussed.

III.—The Application of Operators to the Solution of the Algebraic Equation

1918 ◽  
Vol 37 ◽  
pp. 18-49
Author(s):  
James Littlejohn
Keyword(s):  
Algebraic Equation ◽  
The Common ◽  
Image Position

The solution of the common quadraticwhich is usually writtenis, when expanded,This expansion will be found to be the work of the operator each term being derived from its predecessor by this operator's agency, so that the whole solution may be written

The Caravan-Gods of Palmyra

1932 ◽  
Vol 22 (1) ◽  
pp. 107-116
Author(s):  
M. I. Rostovtzeff
Keyword(s):  
Near East ◽  
Ancient World ◽  
Small Object ◽  
Semitic Languages ◽  
The Common ◽  
Hunting Ground

No ruins of the ancient world outside Italy are more famous than the beautiful romantic remains of Queen Zenobia's city—the desert-city of caravans. No city of the Near East has yielded such an abundance of inscriptions, sculptures and fragments of painting. For more than a century and a half collectors and dealers have found in Palmyra a happy hunting ground; almost every museum has its Palmyrene bust or Palmyrene inscription or some small object such as the common clay tessera. A considerable number of the antiquities found at Palmyra have been published—most of the inscriptions in the Palmyrene dialect of Aramaic or in Greek, numerous sculptures, and many paintings found in tombs. The most important Palmyrene texts have been translated and will shortly be available to those historians who are not acquainted with Semitic languages.

scholarly journals IX.—Some Identities connected with Alternants, and with Elliptic Functions

1905 ◽  
Vol 40 (1) ◽  
pp. 187-201
Author(s):  
Thomas Muir
Keyword(s):  
Elliptic Functions ◽  
The Common ◽  
Image Position

(l) Cayley in his paper entitled “Note sur l'addition des fonctions elliptiques” obtains among other similar things an expression forin terms ofwhereThe form of the expression is the quotient of two determinants, and as the expression becomes useless for such cases as u = v, u = w, … on account of the simultaneous vanishing of numerator and denominator, he is led to seek a means of throwing out the common evanescent factors.

scholarly journals On the relations between systems of curves which, together, cut their plane into squares

1888 ◽  
Vol 7 ◽  
pp. 2-3
Author(s):  
Tait
Keyword(s):  
Unit Vector ◽  
Common Plane ◽  
The Common ◽  
Image Position

If ρ be the vector of a corner of a square in one system, σ that in a system derived without inversion, we must obviously havek being the unit-vector perpendicular to the common plane.

The Common Fossils of the British Rocks

The Geologist ◽  
1858 ◽  
Vol 1 (2) ◽  
pp. 60-64
Author(s):  
S. J. Mackie
Keyword(s):  
High Interest ◽  
The Past ◽  
Book Of Nature ◽  
The Common ◽  
True Knowledge ◽  
Mechanical Devices ◽  
Image Position ◽  
Holy Book

More things remain to be spoken of fossils; wonders of skill to be presented in their construction and design; marvels of mechanical devices for progression, for strength, for lightness, or for protection to be displayed; and consummate wisdom and benevolent forethought to be exhibited in their adaptation to the various purposes for which they were created—in fact, as much as we find to admire or to consider in the structure of existing animals or plants, in their means of developement or of growth, in the influences of climate and seasons upon them, so much also do we find for equal admiration and reflection in those ancient “medals” of past creations.Even contorted and damaged fossils are not without their evidences.Squeezed on either side or flattened, they do not merely ndicate the pressure to which they have been subjected, but the direction also from which it came. Everything connected with fossils is of high interest; but from first to last the value of fossils is in their teachings; and it is never by pounds, shillings, and pence that we can value them at all. In such a light they are but worthless bits of stone, as fit to mend the roads as to be saved. To minds that esteem them thus, they are no treasures, but merely merchandise. Properly studied, however, they convey their lessons of the past; and when regarded as letters in the vast and holy book of Nature, which must ever be read with solemnity and reverence, they take their places properly in the great sentences and wonderful passages of that mysterious language from which Geology interprets the order, wisdom, goodness, and prescience displayed in the animated worlds that were. It is thus we shall have attained to the true knowledge of the value of fossils, when we shall turn from such readings with adoration to the Great Author of all.

An extension of a lemma of Wald

1966 ◽  
Vol 3 (01) ◽  
pp. 272-273 ◽  
Author(s):  
H. Robbins ◽  
E. Samuel
Keyword(s):  
Natural Extension ◽  
Random Variables ◽  
Random Variable ◽  
Common Distribution ◽  
The Common ◽  
Image Position ◽  
Independent Identically Distributed

We define a natural extension of the concept of expectation of a random variable y as follows: M(y) = a if there exists a constant − ∞ ≦ a ≦ ∞ such that if y 1, y 2, … is a sequence of independent identically distributed (i.i.d.) random variables with the common distribution of y then

Pseudo-Measure Energy and Spectral Synthesis

1974 ◽  
Vol 26 (4) ◽  
pp. 985-1001 ◽  
Author(s):  
John J. Benedetto
Keyword(s):  
Harmonic Analysis ◽  
Spectral Synthesis ◽  
Stieltjes Integral ◽  
Natural Notion ◽  
Intimate Relation ◽  
The Common ◽  
Image Position ◽  
Continuous Measures

In this paper we develop a natural notion of continuous pseudo-measure and study the Stieltjes integral with respect to a given pseudo-measure. The common feature to these two topics is the essential appearance in both of integrals having the formSuch integrals come about naturally when one defines the energy of distributions other than measures [6]. The reasons to study continuous pseudo-measures are to find properties analogous with those of continuous measures, and to discover more about the structure of pseudo-measures because of their importance in harmonic analysis, and particularly in spectral synthesis (e.g., [4;15]). The Stieltjes integral with respect to a pseudo-measure is studied because of its intimate relation with spectral synthesis (e.g., §5); the key observations on this matter were initially made by Beurling [6].

An approximation to the motion of two rotating electrical doublets in a plane

1926 ◽  
Vol 23 (3) ◽  
pp. 269-283
Author(s):  
P. A. Taylor
Keyword(s):  
Satisfactory Agreement ◽  
Hydrogen Atoms ◽  
Moments Of Inertia ◽  
Common Value ◽  
Lennard Jones ◽  
Angular Velocities ◽  
The Common ◽  
Image Position ◽  
Helium Neon ◽  
Repulsive Term

We may summarize our conclusions as follows. If the rotating doublets have quite different angular velocities initially, then they repel each other with a force (R) given bywhereandø1 and ψ1 being the (constant) angular velocities of the two doublets.If the doublets have the same angular velocities initially, and the same moments of inertia, then over a certain range of r we havewhereand ω is the common value of the angular velocities of the doublets. When the doublets correspond to hydrogen atoms in their principal quantum orbits, the range of distance becomes 5 Å. to 50 Å. and the formula for R reduces toThis is a law of force of the type found empirically by Lennard-Jones for helium, neon, and argon. The attractive term in this formula is larger than the attractive terms found by Lennard-Jones. The repulsive term, however, which leads to a “diameter” of 3·31 Å., is in very satisfactory agreement with the repulsive terms found by Lennard-Jones.

Greek Kinship Terminology

1953 ◽  
Vol 73 ◽  
pp. 46-52 ◽  
Author(s):  
M. Miller
Keyword(s):  
Close Association ◽  
Close Relative ◽  
The Common ◽  
Image Position ◽  
Kinship Terminology ◽  
Exact Term

Classical Greek kinship terminology, as it is used for example by Isaios, offers few difficulties of meaning in its terms, and describes a bilateral family rather like our own. The principal usages mav be shown in genealogical form as follows:The noteworthy terms are: (i) kedestes, (2) anepsios, anepsiadous, exanepsios, and (3) adelphos and adelphe. Kedestes is applicable to any male who is a close relative by marriage, but who does not belong to the circle of heirs within the anchisteia: the term thus covers our father-in-law, stepfather, brother-in-law, and son-in-law. The close association of the term with words for ‘mourning’ suggests that this name arose from the duties performed in the funerals of members of their wives' anchisteia, even though they were outside the circle of heirs. The terms pentheros and gambros are, apparently, influenced by the usage of kedestes, and tend to the same classificatory employment. The meaning of nyos similarly tends to wander. Anepsios varies between cousin-german and nephew, and each of these relationships also has its exact term, in both cases a compound of adelphos. Anepsiadous and its synonym anepsiou pais are used not only for the cousin's child (the first cousin once removed), but also for Ego's parent's cousin (also a first cousin once removed): so Theopompos, the mother's cousin and heir of Hagnias, calls himself anepsiou pais to Hagnias. The exanepsios was outside the Attic anchisteia, and the term is rarely found. The terms for blood relatives are of the common IE vocabulary except adelphos and adelphe, which have replaced phrater (surviving to mean ‘member of a phratry’), and the lexicographers' eor.

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